Linear completion

  • Hervé Devie
Chapter 3 Extension Of Knuth-Bendix Completion
Part of the Lecture Notes in Computer Science book series (LNCS, volume 516)


We give an example of a set of linear equational axioms such that no finite canonical rewrite system can be computed by ordered completion with a complete reduction ordering, although such a rewrite system does trivially exist. We then describe a set of inference rules for a completion procedure, called linear completion, that solves the problem when the axioms are linear.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Hervé Devie
    • 1
  1. 1.LRI, Université Paris-Sud, Bât 490ORSAY CedexFrance

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